Online GCD Calculator is useful to find the GCD of 150, 480, 538, 232 quickly. Get the easiest ways to solve the greatest common divisor of 150, 480, 538, 232 i.e 2 in different methods as follows.
Given Input numbers are 150, 480, 538, 232
In the factoring method, we have to find the divisors of all numbers
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
Divisors of 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
GCD of numbers is the greatest common divisor
So, the GCD (150, 480, 538, 232) = 2.
Given numbers are 150, 480, 538, 232
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 538 are 2 x 269
Prime factors of 232 are 2 x 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 150, 480, 538, 232 is 2.
Given numbers are 150, 480, 538, 232
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 480) = 2400
GCD(150, 480) = ( 150 x 480 ) / 2400
= 150 / 480
= 150
Step2:
LCM(30, 538) = 8070
GCD(30, 538) = ( 30 x 538 ) / 8070
= 30 / 538
= 30
Step3:
LCM(2, 232) = 232
GCD(2, 232) = ( 2 x 232 ) / 232
= 2 / 232
= 2
So, Greatest Common Divisor of 150, 480, 538, 232 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 480, 538, 232
The greatest common divisor of numbers 150, 480, 538, 232 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 480, 538, 232 is 2.
1. What is the GCD of 150, 480, 538, 232?
GCD of given numbers 150, 480, 538, 232 is 2
2. How to calculate the greatest common divisor of 150, 480, 538, 232?
We can find the highest common divisor of 150, 480, 538, 232 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 150, 480, 538, 232 i.e 2.
3. How can I use the GCD of 150, 480, 538, 232Calculator?
Out the numbers 150, 480, 538, 232 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.